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Symmetry, Integrability and Geometry: Methods and Applications, 2010, Volume 6, 008, 9 pp.
DOI: https://doi.org/10.3842/SIGMA.2010.008 (Mi sigma465) 		 
This article is cited in 8 scientific papers (total in 8 papers)

On Special Berwald Metrics

Akbar Tayebia, Esmaeil Peyghanb

a Department of Mathematics, Faculty of Science, Qom University, Qom, Iran
b Department of Mathematics, Faculty of Science, Arak University, Arak, Iran
Full-text PDF (212 kB) Citations (8)
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DOI: https://doi.org/10.3842/SIGMA.2010.008
Abstract: In this paper, we study a class of Finsler metrics which contains the class of Berwald metrics as a special case. We prove that every Finsler metric in this class is a generalized Douglas–Weyl metric. Then we study isotropic flag curvature Finsler metrics in this class. Finally we show that on this class of Finsler metrics, the notion of Landsberg and weakly Landsberg curvature are equivalent.
Keywords: Randers metric; Douglas curvature; Berwald curvature.
Received: November 1, 2009; in final form January 17, 2010; Published online January 20, 2010
Bibliographic databases:
Document Type: Article
MSC: 53C60; 53C25
Language: English
Citation: Akbar Tayebi, Esmaeil Peyghan, “On Special Berwald Metrics”, SIGMA, 6 (2010), 008, 9 pp.
Citation in format AMSBIB
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\by Akbar Tayebi, Esmaeil Peyghan
\paper On Special Berwald Metrics
\jour SIGMA
\yr 2010
\vol 6
\papernumber 008
\totalpages 9
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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